We consider geodesics in both Riemannian and Lorentzian manifolds with metrics of low
regularity. We discuss existence of extremal curves for continuous metrics and present …

For better translational outcomes, researchers and clinicians alike demand novel tools to
distill complex neuroimaging data into simple yet behaviorally relevant representations at …

Large scale real number computation is an essential ingredient in several modern
mathematical proofs. Because such lengthy computations cannot be verified by hand, some …

Isometries of Relative Metrics 1. Introduction Page 1 Computational Methods and Function
Theory Volume 6(2006), No. 1, 15–28 Isometries of Relative Metrics Peter Hästö, Zair …

It is shown that if a mapping is a local radial contraction defined on a metric space (X, d)
which takes values in a metric transform of (X, d), then for many metric transforms it is also a …

The purpose of this paper is to study the existence theorems of fixed points,△-convergence
and strong convergence theorems for total asymptotically nonexpansive nonself mappings …

In this paper, noncompact CAT (0) versions of the Fan-Browder fixed point theorem are
established. As applications, we obtain new minimax inequalities, a saddle point theorem, a …

We study the structure of the branch set of solutions to Plateau's problem in metric spaces
satisfying a quadratic isoperimetric inequality. In our 1st result, we give examples of spaces …

Metrics on Lie groupoids and differentiable stacks have been introduced recently, extending
the Riemannian geometry of manifolds and orbifolds to more general singular spaces. Here …

The goal of this paper is to study the stability of pure nilpotent structures on an-manifold for
different collapsed metrics. We prove that if two metrics with bounded sectional curvature are …